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76066740 = 223251093877
BaseRepresentation
bin1001000100010…
…10111110110100
312022010120221200
410202022332310
5123433113430
611314212500
71612361631
oct442127664
9168116850
1076066740
1139a35082
1221584130
13129b4009
14a161188
156a28460
hex488afb4

76066740 has 72 divisors (see below), whose sum is σ = 232912680. Its totient is φ = 20093184.

The previous prime is 76066729. The next prime is 76066751. The reversal of 76066740 is 4766067.

76066740 is a `hidden beast` number, since 7 + 606 + 6 + 7 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (76066729) and next prime (76066751).

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 69655716 = 2532^2 + 8346^2 .

It is a super-2 number, since 2×760667402 = 11572297868455200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76066695 and 76066704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17682 + ... + 21558.

Almost surely, 276066740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76066740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116456340).

76066740 is an abundant number, since it is smaller than the sum of its proper divisors (156845940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76066740 is a wasteful number, since it uses less digits than its factorization.

76066740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76066740 is about 8721.6248486162. The cubic root of 76066740 is about 423.7063128794.

The spelling of 76066740 in words is "seventy-six million, sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3877 3924 4905 6540 7754 9810 11631 15508 19385 19620 23262 34893 38770 46524 58155 69786 77540 116310 139572 174465 232620 348930 422593 697860 845186 1267779 1690372 2112965 2535558 3803337 4225930 5071116 6338895 7606674 8451860 12677790 15213348 19016685 25355580 38033370 76066740